Jennifer bought a box of Crunchy Grain cereal. The nutrition facts on the box state that a serving size of

Question

Jennifer bought a box of Crunchy Grain cereal. The nutrition facts on the box state that a serving size of the cereal is $three fourths$ cup and provides 210 calories, 50 of which are calories from fat. In addition, each serving of the cereal provides 180 milligrams of potassium, which is 5% of the daily allowance for adults. If p percent of an adult’s daily allowance of potassium is provided by x servings of Crunchy Grain cereal per day, which of the following expresses p in terms of x ?

A.

$p equals, 0 point 5 x$

B.

$p equals, 5 x$

C.

$p equals, open parenthesis, 0 point 0 5, close parenthesis, to the x power$

D.

$p equals, open parenthesis, 1 point 0 5, close parenthesis, to the x power$

Accepted Answer

Choice B is correct. It&rsquo;s given that each serving of Crunchy Grain cereal provides 5% of an adult&rsquo;s daily allowance of potassium, so x servings would provide x times 5%. The percentage of an adult&rsquo;s daily allowance of potassium, p , is 5 times the number of servings, x . Therefore, the percentage of an adult&rsquo;s daily allowance of potassium can be expressed as . Choices A, C, and D are incorrect and may result from incorrectly converting 5% to its decimal equivalent, which isn&rsquo;t necessary since p is expressed as a percentage. Additionally, choices C and D are incorrect because the context should be represented by a linear relationship, not by an exponential relationship.

Question jennif